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This article is cited in 18 scientific papers (total in 18 papers)
Centrally essential rings
V. T. Markova, A. A. Tuganbaevba a Lomonosov Moscow State University
b National Research University "Moscow Power Engineering Institute"
Abstract:
A centrally essential ring is a ring which is an essential extension of its center (we consider the ring as a module over its center). We give several examples of noncommutative centrally essential rings and describe some properties of centrally essential rings.
Keywords:
centrally essential ring, center of the ring, semiprime ring, semiperfect ring.
Received: 27.11.2017
Citation:
V. T. Markov, A. A. Tuganbaev, “Centrally essential rings”, Diskr. Mat., 30:2 (2018), 55–61; Discrete Math. Appl., 29:3 (2019), 189–194
Linking options:
https://www.mathnet.ru/eng/dm1486https://doi.org/10.4213/dm1486 https://www.mathnet.ru/eng/dm/v30/i2/p55
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Abstract page: | 408 | Full-text PDF : | 49 | References: | 35 | First page: | 19 |
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